Ju a²u at and Q4) given the heat conduction equation i) u (0,t) = u(5, t) = 0, t> 0 (Boundary condition) ii) u(x,0) = x²(25 - x²) Ax = h = 1 At = 0.2 Use an explicit finite difference method to obtain the solution of the above equation and find up to t = 0; 0 ≤ x ≤ 5 (the initial condition)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Ju
at
a²u
əx²
Q4) given the heat conduction equation
i) u (0,t) = u(5, t) = 0, t> 0 (Boundary condition)
ii) u(x,0) = x²(25-x²)
Ax = h = 1 At = 0.2
Use an explicit finite difference method to obtain the solution of the above equation and find up to two level.
and
t = 0; 0≤x≤5 (the initial condition)
Transcribed Image Text:Ju at a²u əx² Q4) given the heat conduction equation i) u (0,t) = u(5, t) = 0, t> 0 (Boundary condition) ii) u(x,0) = x²(25-x²) Ax = h = 1 At = 0.2 Use an explicit finite difference method to obtain the solution of the above equation and find up to two level. and t = 0; 0≤x≤5 (the initial condition)
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